456000012 has 36 divisors (see below), whose sum is σ = 1241334640. Its totient is φ = 140307552.

The previous prime is 455999963. The next prime is 456000023. The reversal of 456000012 is 210000654.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 486712 + ... + 487647.

Almost surely, 2^456000012 is an apocalyptic number.

It is an amenable number.

456000012 is an abundant number, since it is smaller than the sum of its proper divisors (785334628).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

456000012 is a wasteful number, since it uses less digits than its factorization.

456000012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974382 (or 974377 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 456000012 is about 21354.1567850384. The cubic root of 456000012 is about 769.7002330071.

Adding to 456000012 its reverse (210000654), we get a palindrome (666000666).

The spelling of 456000012 in words is "four hundred fifty-six million, twelve", and thus it is an aban number.